Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics

Volume 1, # 1, 1985

C O N T E N T S

**Magnaradze L.G.** The influence of I.Vekkua scientific works on the development of some directions of mathematical analysis.

**Alekhno A.** The characteristic singular integral equation with the multi-sided whirl point.

**Akhalaia G., Manjavidze G.** On one differential boundary value problem for the generalized analytical functions.

**Babaev A.A., Salimov T.S.** On Cauchy's integral of particular type.

**Belii V.I.** On the constants in estimations of the distance distortion at the conformal mappings.

**Bilman B.M., Jangibekov G.** On some two-dimensional integral equations with the discontinuous coefficients in the bounded simply connected domain.

**Bliev N.K., Abdimanapov S.A.** On the normal solvability in the sense of Hausdorf of the two-dimensional singular equation in the practional spaces.

**Bliev N.K., Mukhamediarova A.J.** On the new class of the generalized analytical functions.

**Boikov I.V.** The approximate solution of the semi-singular integral equations.

**Bondar A.V.** On some cryterians of the holomorphicity for the mapping of the complex Hilbert spaces.

**Vasilevski N.L.** On one algebra originated by multi-dimensional Viner-Hopf operators.

**Vasilevski N.L., Shapiro M.V.** On the analogous of monogeity in Moisil-Teodoresko sense and some application in the theory of boundary value problems.

The approximation by means of the rational fractions in Orlich spaces on the circumference.

**Grushevski S.P.** On some approximations of the weak type estimates of the non-tangent maximal functions.

**Dibin V.B.** The one-dimensional singular integral equations with the annular coefficients.

**Zelinski Yu.B.** Han-Banach theorem for the strong linely convex domains.

**Zolotukhin I.P.** The boundary value problem for the first order elliptical systems of differential equations on the complex analytical manifold and its applications in the bending theory.

**Ivanov V.V.** The complex analysis and one new problem of the indentification in the class of generalized functions.

**Cacichev V.A.** On Riemann-Hilbert boundary value problems with the integro-differential operators for the analytical functions in the bidomains.

**Kapanadze G.A.** Hilbert generalized boundary value problem for the piesewise holomorphic vector with displacement.

**Karapetiantz N.K.** On the integral operators with the homogeneous kernels.

**Karlovich Yu.I.** Noter's theory of one class of the connolution type operators.

**Karlovich Yu.I., Litvinchuk G.S., Spitkovski I.M.** Factorizaation of the almost-periodic matrixes and Noter's theory of Viner-Hopf equations systems with the semi-aalmost-periodic presymbols.

**Kokkilashvili V.M.** The singular integrals with Cauchy's kernels in Orlich spaces with the weight.

**Kravchuk E.V.** On the extremal functions in the problem of the standarcs of the level lines at conformal mappings.

**Krupnik N.Ya.** The local principleof calculation of the factor-norms of singular integral operators.

**Kitmanov A.M.** On the investigation of the algebraic equations system in the chemical cinetics by means of the multi-dimensional deductions.

**Madoyan S.V.** The boundary properties of the functions of class N(Wo,Wn,C).

**Makatsaria G.T.** The boundary problems for Karleman-Vekua equation with the polar particularities.

**Mamedkhanov J.I.** Some problems of the best approximation in the complex domain.

**Marichev O.I., Vy Kim Tuan.** The compound structure of some integral transformaations of connolution type.

**Machavariani I.D.** On the continuity of the singular integral with Cauchy kernel.

**Mityuk I.P.** Some properties of the functions, regulaar in the circle.

**Mikhailov L.G., Usmanov N.** The paarticular cases of the conjugated boundaary value problems for some partial differential equations.

**Monakhov V.N., Semenkko E.V.** The conjugated boundary value problems for the analytic functions with the infinite index.

**Nazarian E.O.** On the multi-dimensional analogie of Karleman formula with the holomorphic kernel.

**Obolashvili E.I.** Some boundary value problems for the metaparabolic equation.

**Oligov B.Kh.** Some properties of Faber's generalized operators.

**Paatashvili V.A.** On Riemann-Hilbert discontinuous problem.

**Palamodov V.P.** Artfacts of reconstruction of the discontinuous function by means of finite number values of its Radon transformation.

**Rodin Yu.I.** The matrixal Riemann problem and the non-lineaar completely integrable systems.

**Saginashvili A.I.** Riemann problem with the displacement in the domain.

**Samko S.G.** On considere of differentiation in sense of Grunvald-Letnikov with the another forms of the fractional differentiation. The periodic and non-periodic case.

**Sarkisian S.Ts.** On one generalization of Viman-Valiron and its application at the algebraic differential equations.

**Spitkkovsi I.M.** On Riemann vectorial boundary value problem in the discontinueous case.

**Tumarkin A.G.** On system {Re (x)+ Im (x) }.

**Tumarkin G.** On the class of domains connected with the properties of Cauchy integral.

**Usmanov Z.D.** The izothermical conjugated parametrization of the surface in the neighbourhood of the planar point.

**Khatiashvili N.G.** On one boundary value problem for the piece-wiese holomorphic functions in the plane with cuts.

**Khimshashvili G.N.** The functional analysis and Fredholm theory of singular operators.

**Chibrikova L.I.** The using of piese-wiese holomorphic functions for the constructions of the integral representations of some special functions.

**Chikvinidze L.N.** The constructive discription of some functional classes in the weighted integral metrics.

**Ianushauskas A.I.** The orthogonal polynomials and the eigenvalue problems for the confluent equations.